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Prove that 2underroot 3 - 4 …

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Prove that 2underroot 3 - 4 is an irrational no

Posted by Sweety Singh 4 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Kinjal Agarwal 4 years, 6 months ago

Let us considered that 2√3-4 is rational no. That is, it can be written in the form of p/q where p and q are co-primes and q is not equal to 0. Let, "a" be the required rational no. That implies, 2√3-4=a 2√3=a+4 √3=a+4/2 We know that "a" is rational no. That is, a+4/2 is also rational, but √3 is irrational. Which means that, Irrational is not equal to rational Hence, 2√3-4 is irrational Proved!!

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CBSE > Class 10 > Mathematics